Estimates of resistive and conductive exponents in two and three dimensions using extended perimeter method

We use the 'Extended Perimeter Method', to calculate the low density series in powers of p (where p is the probability) for the resistive and conducti ve susceptibilities. In the case of directed problem, the numerical analysi s of the series based on the Pade' approximants techniques give the estimat es of the critical exponents gamma (C) = 0.87 +/- 0.03 in two dimensions an d gamma (C) = 0.48 +/- 0.02 in three dimensions for the first time. For und irected problem, we obtain only the series for resistive and conductive sus ceptibilities in three dimensions. On the basis of our analysis using non-d efective approximants we estimate gamma (R) = 2.83 +/- 0.25, and gamma (C) = 0.63 +/- 0.07. We also remove the discrepancy in the 8th term of the seri es for chi (C)(p) obtained hy Fisch and Harris in 1978. We conclude that th e 8th term is wrong due to a single error in the formula which was used in all dimensions.